38.33 is what percent of 291.67 - step by step solution

To get the solution, we are looking for, we need to point out what we know.

1. We assume, that the number 291.67 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for.
3. If 100% equals 291.67, so we can write it down as 100%=291.67.
4. We know, that x% equals 38.33 of the output value, so we can write it down as x%=38.33.
5. Now we have two simple equations:
1) 100%=291.67
2) x%=38.33
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=291.67/38.33
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 38.33 is what percent of 291.67

100%/x%=291.67/38.33
(100/x)*x=(291.67/38.33)*x       - we multiply both sides of the equation by x
100=7.6094442995043*x       - we divide both sides of the equation by (7.6094442995043) to get x
100/7.6094442995043=x
13.14156409641=x
x=13.14156409641

now we have:
38.33 is 13.14156409641% of 291.67